Results 61 to 70 of about 15,366,710 (301)
New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
Advanced Engineering Materials, EarlyView.This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
wiley +1 more source
Construction of Hamiltonian Cycles with a Given Spectrum of Edge Directions in an n-Dimensional Boolean Cube [PDF]
, 2020 -The spectrum of a Hamiltonian cycle (of a Gray code) in an n-dimensional Boolean cube is the series a = (a 1 , . . . , a n ), where a i is the number of edges of the ith direction in the cycle.
V N Potapov
core
Advanced Engineering Materials, EarlyView.Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
wiley +1 more source
A novel algorithm to embed a multi-dimensional torus into a locally twisted cube [PDF]
, 2011 This paper addresses how to embed a multi-dimensional torus of maximal size of into an n-dimensional locally twisted cube. The major contribution of this paper is that, for n≥4, every k-dimensional torus of size 2s1×2s2×⋯×2sk satisfying ∑i=1ksi=n can be ...
Chang-Hsiung Tsai +5 more
core +1 more source
Rotation invariant cubature formulas over the n-dimensional unit cube
Journal of Computational and Applied Mathematics, 2001 Cubature formulas for the approximation of multivariate integrals were studied. The integrals that remain unchanged under the transformations preserving orientation were considered. New cubature formulas were obtained. The general form of the nonlinear equations determining cubature formulas and giving some rules to obtain cubature formulas with a ...
Cools, Ronald, Kim, K.J.
openaire +2 more sources
Advanced Engineering Materials, EarlyView.This study examines Invar composites reinforced with titanium carbide (TiC) and titanium nitride (TiN) using laser powder bed fusion (LPBF). It presents the influence of reinforcements on microstructure, tensile properties, and thermal expansion. Results show that TiC effectively strengthens Invar while maintaining low thermal expansion, whereas TiN ...
Ayodeji Nathaniel Oyedeji +3 more
wiley +1 more source
, 1979 Some problems concerned with cutting faces of the cube with affine or linear spaces are considered. It is shown that through any d-3 points of Rd there passes a hyperplane which cuts all the facets of the d-cube.
Lawrence, J.
core +1 more source
Embedding the n-cube in Lower Dimensions [PDF]
, 1986 Let m = m (n) denote the smallest dimension m such that the vertices of the n-dimensional cube can be embedded into Em in a way that adjacent vertices have distance at most 1 while any two non-adjacent vertices are at distance more than 1.
Maehara, H., Frankl, P.
core +1 more source
On invariant measures for piecewise $C^2$-transformations of the n-dimensional cube [PDF]
Annales Polonici Mathematici, 1983 Let \(\tau:[0,1]^ n\to [0,1]^ n\) be a piecewise \(C^ 2\)- transformation whose ith coordinate \(\tau_ i\) depends only on the ith coordinate of a point and such that \(\inf \tau_ i'(x_ i)>1\) for \((x_ 1,...,x_ n)\in [0,1]^ n,\) where \(\tau_ i'(x_ i)\) is defined and \(i=1,...,n.\) The author generalizes a theorem of \textit{A. Lasota} and \textit{J.
openaire +2 more sources
Advanced Engineering Materials, EarlyView.HEA interlayers offer a versatile route for joining high‐performance structural materials. Their compositional and structural design regulates interfacial reactions, suppresses brittle IMCs, and improves metallurgical bonding. Sandwich interlayers further integrate defect healing with precipitation strengthening, enabling improved strength–ductility ...
Lin Yuan +4 more
wiley +1 more source